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Simplifying 4(3x + -1) = 7x + -34 Reorder the terms: 4(-1 + 3x) = 7x + -34 (-1 * 4 + 3x * 4) = 7x + -34 (-4 + 12x) = 7x + -34 Reorder the terms: -4 + 12x = -34 + 7x Solving -4 + 12x = -34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 12x + -7x = -34 + 7x + -7x Combine like terms: 12x + -7x = 5x -4 + 5x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 5x = -34 + 0 -4 + 5x = -34 Add '4' to each side of the equation. -4 + 4 + 5x = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -34 + 4 5x = -34 + 4 Combine like terms: -34 + 4 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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